Re: Le Tarot arithmologique - la séquence 1+4+7+10 = 22

#601
SteveM wrote:
15 Feb 2018, 22:43
Hi Huck, welcome back - hope everything OK with you?
Huck wrote:
15 Feb 2018, 22:23

Deletre (very rare name, second most often also in Nord)
http://www.geopatronyme.com/cgi-bin/car ... lient=cdip

I wondered if it is a variation of Parisian cardmakers Delaistre -

Delaistre has the most appearances in Aisne in the South of Nord ... also the same region. It looks indeed, as if Delaistre is another writing form of the same name Deletre.

http://www.geopatronyme.com/cgi-bin/car ... lient=cdip
Huck
http://trionfi.com

Re: Le Tarot arithmologique - la séquence 1+4+7+10 = 22

#602
One should also remember the Virgil Solis cards, which were added to the French Tarot deck of Catelin Geofroy 1557. Virgil Solis used animals as suits. Master PW, who worked also for Maximilian in the years around 1496, used at his round cards also animals. Before Master PW the Master of the playing cards and Master E.S. also had animals. Also there were Hunting decks, all very famous. German playing card history has a lot of animals.
Huck
http://trionfi.com

Re: Le Tarot arithmologique - la séquence 1+4+7+10 = 22

#603
Epilogue?
Le Professeur Andrea VITALI a publié il y a désormais quelque temps mon essai à propos d'une structure arithmologique du Tarot classique; il est désormais traduit en Anglais par le Docteur en Philosophie Mickael HOWARD.
http://letarot.it/page.aspx?id=603
Ce dernier a publié aussi un essai critique documenté en appréciation de la thèse que je présentais :
http://www.associazioneletarot.it/page. ... 08&lng=ENG

Epilogue ? Je souhaite attirer l attention sur les faits suivants:
1. cette structure pythagoricienne était connue de BOETHIUS , et par conséquent des lettrés latins - et ce, avant l'exil en Italie des savants byzantins
Boethius « De institutione arithmetica »
viewtopic.php?f=11&t=1102&start=550#p18861n
Image
2. les jeux dits de philosophes Ludus philosophum comme le souligne Anne E. MOYER, The Philosopher's game, Rithmomachia in Renaissance and Medieval Europe, University of Michigan Press, 200
https://books.google.fr/books?id=SNM2tj ... ce&f=false
Image
Web page : http://letarot.it/page.aspx?id=23&lng=eng

Re: Le Tarot arithmologique - la séquence 1+4+7+10 = 22

#604
BOUGEAREL Alain wrote:
18 Apr 2018, 21:08
Epilogue ? Je souhaite attirer l attention sur les faits suivants:
1. cette structure pythagoricienne était connue de BOETHIUS , et par conséquent des lettrés latins - et ce, avant l'exil en Italie des savants byzantins
Boethius « De institutione arithmetica »
viewtopic.php?f=11&t=1102&start=550#p18861n
Image
2. les jeux dits de philosophes Ludus philosophum comme le souligne Anne E. MOYER, The Philosopher's game, Rithmomachia in Renaissance and Medieval Europe, University of Michigan Press, 200
https://books.google.fr/books?id=SNM2tj ... ce&f=false

Request : would somebody be kind enough to offer a translation in English .
I am not enough fluent in your language;
Thanks
Image
Web page : http://letarot.it/page.aspx?id=23&lng=eng

Re: Le Tarot arithmologique - la séquence 1+4+7+10 = 22

#606
Here is my attempt to translate what Alain has added to his essay in French at http://letarot.it/page.aspx?id=603. I am sorry for not noticing his request earlier. Added later: I include the French that he quotes in this addition. I learn via Alain that it comes from Mathématiques au Moyen-âge, Eclairs sur le Moyen-âge, section I: "Dans le moule romain : du VIème au IXème siècle" [Mathematics of the Middle Ages; Lightning-Flashes on the Middle Ages," section I: In the Roman Mold, from the 6th to the 9th century"], by Henry Plane, 1988, p. 7, at https://www.apmep.fr/Mathematiques-au-Moyen-age-par
Epilogue? I wish to draw attention to the following facts:

- this Pythagorean structure was known to BOETHIUS, and consequently to those literate in Latin - and this, before the exile into Italy of Byzantine scholars
Boethius, De institutione arithmetica
viewtopic.php?t=1102&p=20080#p20080
Image


Boethius understands that in the case of pentagons - "de generatione pentagonorum" - the differences between two successive pentagonal numbers form what we call an arithmetical series of common difference three.
1, 4, 7, 10, 13, 16 ...

and that the pentagonal numbers are obtained as the successive sums of the terms of this series:
5, 12, 22, 35, 51 ...

Boethius ends his study by writing, "We can do the same for the other forms of polygons" - and he generalizes - hexagon, series of common difference four (1, 5, 9, 13, ...) , heptagon, series of common difference five (1, 6, 11, 16, ...).
- the so-called philosophers' game, as outlined by Anne E. MOYER, The Philosophers' Game, Rithmomachia in Renaissance and Medieval Europe, University of Michigan Press, 2001
https://books.google.fr/books?id=SNM2tj ... ce&f=false

Re: Le Tarot arithmologique - la séquence 1+4+7+10 = 22

#607
I edited the above post a few hours after initial posting to add, before the translation, the information about the source of the image, namely, the work by Henry Plane. On the left side of the image are two selections from the work in clearly pre-modern type. Of these Plane says: (p. 5)
Nous reproduisons des extraits d'un incunable de 1499. L'influence de Boèce était restée telle, un millénaire après sa mort, que son œuvre fut parmi les tout premiers text les imprimés.
(We reproduce here some extracts froman incunabule of 1499. The influence of Boethius remained such that a millennium after his death, his work was among the earliest texts printed).
All of the 1499 print listings I could find on WorldCat for Boethius's mathematical works were for Venice, listed as De arithmetica ad patritium simmachum libri duo. De musica libri quinq[ue]. De geometria libri duo. De philosophie consolatione libri quinq[ue]. De scholariu[m] disciplina liber vn[us, or of just the first three. The three together had also been published in Venice of 1492, and the Arithmetica by itself in 1488 Augsburg.

Re: Le Tarot arithmologique - la séquence 1+4+7+10 = 22

#608
mikeh wrote:
27 Apr 2018, 11:52
I edited the above post a few hours after initial posting to add, before the translation, the information about the source of the image, namely, the work by Henry Plane. On the left side of the image are two selections from the work in clearly pre-modern type. Of these Plane says: (p. 5)
Nous reproduisons des extraits d'un incunable de 1499. L'influence de Boèce était restée telle, un millénaire après sa mort, que son œuvre fut parmi les tout premiers text les imprimés.
(We reproduce here some extracts froman incunabule of 1499. The influence of Boethius remained such that a millennium after his death, his work was among the earliest texts printed).
All of the 1499 print listings I could find on WorldCat for Boethius's mathematical works were for Venice, listed as De arithmetica ad patritium simmachum libri duo. De musica libri quinq[ue]. De geometria libri duo. De philosophie consolatione libri quinq[ue]. De scholariu[m] disciplina liber vn[us, or of just the first three. The three together had also been published in Venice of 1492, and the Arithmetica by itself in 1488 Augsburg.
Hi Mikeh

I m grateful to you for caring to offer an English translation of the Epilogue.
As usual in your case, it's a perfect work.
I believe I'm on the right path.
The Arithmological Tarot may well have been an elaborate Ludus Philosophum before becoming the pattern of the classical Tarot.
Web page : http://letarot.it/page.aspx?id=23&lng=eng

Re: Le Tarot arithmologique - la séquence 1+4+7+10 = 22

#609
Un exemple ultérieur d' une telle application des proportions pythagoriciennes boeciennes inspirées de Nicomaque de Gérase en conformité avec les jeux pythagoriques dits Ludus philosophum du Moyen Age et de la Renaissance,fut l'opuscule intitulé La signification de l' 'ancien jeu des chartres pythagoriques... .du Bibliothécaire royal Jean GOSSELIN publié en 1582
gosselinessai (1).JPG
gosselinessai (1).JPG (12.72 KiB) Viewed 2148 times
Clairement, nous avons là une application de l'ancienne Arytmomachia au Jeu de Piquet que Rabelais dans Gargantua nomme "A trente et ung" qui s'inscrivait parfaitement, comme nous le soulignions en conclusion dans notre Essai, dans la lignée initiée par.l'opuscule de Lefèvre d'Etaples qui publia en 1514
Rithmimachie ludus, qui et pugna numerorum appellatur, Paris, Henri Estienne, 1514, in-4° "imprimé à la suite de l'Aritihmetica de Jordan Nemorarius. "
(Cf Wikipedia Jacques Lefèvre d'Etaples :https://fr.wikipedia.org/wiki/Jacques_L ... 3%89taples).

En 1556, Claude de Boissière publia Le très excellent et ancien jeu pythagorique dict Rythmomachie ... :
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content.png
(2.41 MiB) Not downloaded yet
https://books.google.fr/books?id=F15s3q ... &q&f=false

Nous avions ici même sur THF étudié en profondeur cet opuscule en soulignant sa cohérience "pythagorique " ; j 'avais publié, en 2016, la synthèse de nos échanges à ce propos dans l 'article :

Image
https://drive.google.com/file/d/0B5Hg6j ... RLMkU/view
Web page : http://letarot.it/page.aspx?id=23&lng=eng

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